ters of a yard what wil! 2 yds. 10. In 8 parcels each containing cost? 4 yards? 6? 5? 7? 131b. 3oz. how many half pounds? 49. 1. By what character is subtraction denoted? Make it. 2. How would you signify that 13. 11. 8mi.-8fur. how much? 12. how many 4ths? how many 5 was subtracted, or taken from 9:24ths? 8ths? 16ths? 3. 9-5 how many? 9-9? | 18-7? 18--9? 24--15? 30--18 14. gb.-3oz how many 36-11? 41--16? ounces? 4. What would you understand 15. 1 dol.- dime=how by 17--9plus12--4? 9-7plus21-many cents? 19? 4-61plus12-3?' 16. 2dol. 14cts.how many 5. 1.-1s. how many shill- cents? ings? 6. 28.-9d. how many pence?! 7. 39. 4d.-1s. 6d. how much? 8. 2rd.-14ft how much? 17. 1 guinea--1 dollar-how. many shillings? how many uollars? how many cents? 18. Twelve pounds--3 lb. 4 oz. 9. 33rd. equal how oz. how many lb.? much? 19. Take 1 oz. from 1cwt. what 10. 21. 3s.plus1l. 6s.-S. how remains? much? 50. 1. By how many meth- 8. How wond you express ne ods is division denoted? Write division 34 by 4? what would the them down. answer, or quotient be? 2. How would you signify the 9. How would you express the division of 12 by 4, according to division of 18 among 5 men? how the first method? the 2d? the 3d many cents would each receive? 3. 3)9(how many? 4)9(=j 10. Divide 2lb. of raisins among 3 boys, how many ounces would how many? 4. 155 how many? 17-4each receive? 25÷6? 11. What is the expression by 18-?characters of 7 plus 5 multiplied by 8 and divided by 16? 7. How would you express the division 2 by 12? of 12 by 2? 12. How would you denote by characters 9 minus 3 plus 4 multiplied by 5 and divided by 6? SECTION VIII. MISCELLANEOUS QUESTIONS. 51. 1. If 2lb. of raisins cost 3. If 2 bushels of rye cost 5 25 cents, what will 11b, cost? shillings. what will 3 bushels cost?. what will 31b, cost? 4ib? 6lb? 8lb? 5 bushels? 6 bushels? 7 bushels? 121b? 4. If of a yard of cloth cost 2. If 3 yards of cloth cost 9 dol-2 dollars, what will 2 yards cost? lars, what will 2 yds. cost? 4 yds?3yds? 5yds? 6yds? 5 yds? 7 yds? 9 yds? 11 yds? 5. When oats are 2s. 6.1. a bus. how many dollars will 8 bus. cost? 11. If a horse run 5 miles in 10 10 bus.? 11?13? 20? minutes, how far will he run in 20 6. If a family consume 2 bus. minutes? 15m? 30m? 1 h? and a half of grain in a week, 12. If 2 inkstands cost 28 cents, how much will last them 4 weeks? what will 3 inkstands cost? 5 ink5 weeks? 6 w? 3w? half a week? stands? 7. If a horse eat 3 bushels and 13. If a yard of cloth cost $4 1 fourth in a week, how many bus. what will tyd cost? gyd? gyd? would he eat in 8 weeks? 4w? 3w? yd? 9yds? 13yds? in half a week? 14. What is the interest of $5 9. If 3 men can build 9 rods of for a year at 6 per cent per anwall in a day, how many men will num? (19.) $7? $9? $12? $15? build 12 rods in the same time? 15. What is the interest of $5 18 rods? 6 rods? 24 rods? for 9 months at 6 per cent? for ly 6 9. If 6 men can make 18 rods mo? for 6mo? for 3yrs? for 2yr 9 of fence in a day, in what time mo? will they make 9 rods? 4 rods?| 16. If 3 tons of hay cost $15, 24 rods? 21 rods? 27 rods? what will 5 tons cost? 7 tons? 9 10. If 4 bushels of rye cost $2 tons? ton? 2 tons and one fifth? what part of 18 will 1 bushel cost: 6 and 3 fifth tons? 12 tons? 52. 1. What part of a week 10. What part of an ell English is one day? 2 days? 3 days? 4 days? is 1 quarter? 2qr? 3qr. 1 nail? 2na? 5 days 6 days? (See Tables, Sec. 3na? V.) 2. What part of a month is is day? 2 days? 3 days? 1 week? 2 weeks? 3 weeks? 3. What part of a year is 1 mo? 2 mo? 3 mo? 4 mo? 5? 62 8? 7? 11? 10: 9? 11. What part of a square foot 1 inch? 2in? 12in? 36in? 72? 12. What part of an acre is 1 rood? 2 roods? 40 rods? 80 rods? 20 rods? 10 rods? 1 rod? 13. What part of an acre is 1 square chain? 5 sq. cha.? 7 do, 5? 4. What part of a day is 1 hour?3? 3h 4h? 2h? 6h? 8? 12? 15? 20? 14. What part of a foot is 1 5. What part of an hour is 1 solid inch? 864 solid inches? minute? 10 minutes? 15? 20? 30 15. What part of a yard is one 45: Let the pupil be required to solid foot? 3ft? 9ft? 20ft? 30ft? reduce the fractions to their low- 16. What part of a cord is 1 solest terms thus:-10m=10. id foot? 2ft? 10ft? 32ft? 64ft? 96ft? =1h. 15m.=18h=1b. &c. What part of a yard is 1 foot? 1 foot and a half? 2 feet? 17. What part of a pound Troy is 1oz? 3oz? 6oz? 9uz? 13oz? 15oz? 20oz oz? oz? 1pwt? 7. What part of a foot is 1 inch? is loz? 2oz? 4oz? 8oz? 10oz? 12oz. 18. What part of a common lb. 3in? 5in? 6in? 9in? in? 1 barley half an ounce? quarter of an oz? corn? 19. What part of lcwt is 1 lb? 21b? 56 lb? 28 lb? 141b? 7 lb? 84 Hb? 8. What part of a mile is 1 furlong? 3fur? 4fur? 40 rods? 20 rods? 10 rods? 1 rod? 40 chains? 10 cha?! 5cha? 1cha? (Table VII. p. 35.) 9. What part of a yard is 1 nail?il? 2 gills? 1 pint? What part of a gallon is 1 qt? 1 pt? 1 gill? 2 nails? 3 nails? 9 20. What part of a quart is 1 21. What part of a bushel is 1,24qts? 2pts? 1 pint? 3 pints? 1 gill? peck? 1 quart? 4 quarts? 16 qts? 2 gills? 53. 1. If a staff 4 ft. long cast way; one at the rate of 31⁄2 miles a shadow 5 feet, what is the height an hour, and the other at the rate of a tree that casts a shadow 50 ft. of 3 miles an hour, how far are at the same time? what is the they apart at the end of one hour? height of a tree whose shadow 2 hours? in how many hours will measures 25 feet? 75 feet? 100 feet? they be just one mile apart? 2. When a staff 6 feet long casts 8. A man failing in trade, could a shadow 5 feet, what is the height pay his creditors only 60 cents on of a liberty pole whose shadow the dollar, how much would he measures 100 feet? pay on $2? $5? $8? $10? $12? 3. If a cistern, which holds 90 9. If 5 bushels of oats will gallons, receive 53 gal. and dis-serve 4 horses 1 week, how many charge 44 gal. per hour, in what bushels will serve 12 horses the time will it be filled? if it receive same time? 36 and discharge 37 gal. per hour, in how many hours will it be fill-ions will serve 3 men 9 days, how ed? many days will it serve 1 man? 4. If a cask of wine cost $64, 2 men? 7 men? what is the cost of of it? 10. If 6 dollars worth of provis 11 If $10 worth of provisions 5. If a man spend $24 a day, will serve 7 men 4 days, how mahow much will he spend in any days will they serve 9 men? week? 14 men? 3 men? 6. If a man travel 3 miles and 12. If $3 worth of provisions a half an hour, how far will he will serve 7 men 3 days, how matravel in 3 hours? in 5h? in 12h? ay men will it serve 1 day? 2 days? 7. Two men start from the 5 days? 8 days? same place and travel the samel 54. 1. If a peck of wheater $40, and the other $50, and make 12 ten penny loaves, how they gained $72 dollars; what/ many penny loaves may be made was each man's share? from it? how many two penny 5. Two men hired a pasture loaves? 5 penny loaves? for $24, one put in 3 cows for 4 2. If a peck of wheat make 10 months, and the other 2 cows for eight penny loaves, how many 65 months, how much ought each penny loaves may be made from to pay? 3 cows 4 mo. I cow 12 it? mo, and 2 cows 5mo.=1 cow 10 Their shares then are as 12 Ten 8 penny loaves 30 penny mo. loaves, and 80d loaves-133 six to 10. The three preceding quespenny loaves. tions involve the principles of fel 6. A and B trade in company; 3. Two men hired a pastare lowship. for 60 dollars; one put ia 7 horses, and the other 3, what ought A puts in 1 dollars for 4 months, each to pay? aud B 2 dollars for 3 months and 4. Three men commenced trade they gained 90 cents, how many together; one put in $30, anoth-cents must each have? 7. C and D trade in company; 8. EF and G trade in compaC puts in 2 dollars as often as Dny; E puts in $23 F 40 and G 60. puts in 3; C's money is employed F's money is in twice as long as 7 months and D's 5 months and G's, and E's 3 times as long as they gained $58, what was each F's; they gained 88 dollars, what man's share of the gain? is each man's share of the gain? 55. 1. Of what number is 6 number? one third part? one fourth? 13. 16 is 3 fifths of how many 2. What is one sixth of the num-times 6? ber of which 6 is ? of which 6 is ?? 3. Of what number is 2 one fourteenth part? one 19th part? 4. Eight is 2 times what number? 4 times what number? 14. 24 is 3 fifths of how many times 10? 15. 23 is 7 tenths of how many times 9? 16. 30 is 5 eights of how many times 7? 5. John received 4 cents, which 17. Horace gave George four were of the whole, and James re- cents, which were one third of all ceived, how many did James re- he had, how many had he? ceive? 18. 5 apples are of how many 6. If 5 eighths of a load of hay apples? one sixth of how many? cost 10 dollars, what would the one eighth? whole load cost? How much salt 19. Four dollars are of how at $4 a barrel would pay for the many dollars? are ?? load? 20. A man bought a horse and 7. 10 are of how many times 4? saddle for 25 half eagles and the 8. If of a pound of coffee cost horse is worth 4 fifths of the price 16 cents, what wil a pound cost? of both, what was the worth of 9. If 4 fifths of a yard of clotheach? cost 20 cents, what is that a yard? 21. A man sold a harness for how many melons at five cents a 36 dollars, which was 6 fifths of piece would pay for a yard of the what it cost him, how much did cloth? he gain? 10. 20 is 4 fifths of how many times 5? 22. A man bought 12 barrels of flour and sold them for $54, which 11. A man sold a cow for 14 was 9 eighths of what they cost dollars, which was 4 sevenths of him; what did it cost per barrel? what she cost him, how much did and how much did he gain by the he lose? bargain? 12. 14 is 4 sevenths of what 56. 1. How much is of of? Ans. ; for 1 half is three sixths, and 1 third of 3 sixths is sixth, or 1 third is 2 sixths and of 2 sixths is 1 sixth. 1 compound fraction, which is the fraction of a fraction, as of one fifth is reduced to a single one by multiplying the numerators together for a new numerator and the 2. How much is of 1 fifth? denominators together for a new is 5 twentieths and 1 fifth of 5denominator. twentieths is 1 twentieth, i. e. a 3. How much is of 1 seventh Ans. 1 third of of a pound? Ans. 4x4 lb. 10. What part of a foot is one 4. How much is of § of a mile? third of an inch? 1 twelfth or 1 thirty sixth. 3×318iniles Ans. 5. How much is of of a rod? 3 ninths of 4 elevenths? 6. How many rods in a mile? mile? in of mile mile? in mile? in (p. 35.) in in of of of 4 mile? 7. How many inches in & of third of a foot? in 1 third of foot? of a 11. What part of a foot are two barley corns? 3 barley corns? 12. What part of a shilling is 1 farthing? What part of a pound is penny? 6u? 9? 12d? 18? 24? 13. The diameter or distance through the earth being 8000 miles, how far is it to the centre? what is the diameter? 1 third? 1 of 4jeighth? 5 eighths? 14. The circumference, or distance round the earth being 25000 8. If 1 yard of cloth cost fifths of a dollar, what will of a yard cost? 1 eighth yd.? 5 eighths? 9. If a pound of coffee cost 27 miles, what is one half the circumference? I fifth? 1 eighth? 1 tenth? cents, what will of lb. cost? 1 thirteenth? third of 1 ninth lb.? 57. 1. If 2 lb. of sugar cost 18 minutes? 30 minutes? 27? 9? 25 cts. what will 1 lb. cost? what 9. If 3 pen knives cost 39 cents, will 3 lb. cost? 5 lb? 8 lb? 7 lb? what will 2 cost? what will 5 cost? 10 lb? 16? 4? 7? 2. If 3 yards of cloth cost 30 cts. 10. If of a yard of cloth cost what will 1 yard cost? 2 yards? 5 $6, what will cost? Ans. If yds? 7 yds? 10 yds? 15 yds? 20 cost $6, 1 eighth will cost $2, and yds? 19 yds? $10. What will 1 yard cost? 4. 3. If 4 yards of ribbon cost 16 yard?? 1 yd? 18? ig? cents, what will 8 yds cost? 5 yds? 7 yds? 9 yds 12 yds? 20 yds? 16 yards? 11. If a man travel 9 miles in 3 hours, how far will he travel in 2 hours? in 5 h.? in 7? 12? 10 1-3? 4. If a horse eat 5 pecks of oats 11? a week, how many bushels will he 12. If we are carried by the di eat in 4weeks? in 6 weeks? in 9urnal motion of the earth 800. weeks? in 7 weeks? in 5 weeks? miles an hour, how far are we car5. If 10 yards of cloth cost $5 ried in hour? 4 hour? in 5 min. what is that a yard? what will 5utes? in 1 minute? yards cost? 20 yds? 17 yds? 9 yds 26? 31? 75? 6. If 9 yards. of ribbon cost 81 cents, what will 3 yards cost? what will 5 yards cost? 7? 8? 7. If ton of hay will keep 1 cow through the winter, how much will keep 3 cows? 5 cows? 6 cows? 9 cows? 12 cows? 13. If we are carried by the anLual motion of the earth 68,000 miles an hour, how far are we carried in half an hour? a quarter of an hour? in 5 minutes? in one minute? 14. If light be 8 minutes in coming from the sun to the earth, how long will it be in going from 8. If a horse run 3 miles in 12 the sun to Hershel, Hershel being minutes, how far will he run in 20 times as far from the sun as the 6 minutes? 8 minutes? 20 minutes? earth is? |